New refinements of the McKay conjecture for arbitrary finite groups

I. M. Isaacs; G. Navarro

New refinements of the McKay conjecture for arbitrary finite groups

Group Theory 2007-05-23 v1

Authors: I. M. Isaacs , G. Navarro

Abstract

Let $G$ be an arbitrary finite group and fix a prime number $p$ . The McKay conjecture asserts that $G$ and the normalizer in $G$ of a Sylow $p$ -subgroup have equal numbers of irreducible characters with degrees not divisible by $p$ . The Alperin-McKay conjecture is a version of this as applied to individual Brauer $p$ -blocks of $G$ . We offer evidence that perhaps much stronger forms of both of these conjectures are true.

Keywords

mckay conjecture finite groups sylow p-subgroup irreducible characters alperin-mckay conjecture brauer blocks

Cite

@article{arxiv.math/0411171,
  title  = {New refinements of the McKay conjecture for arbitrary finite groups},
  author = {I. M. Isaacs and G. Navarro},
  journal= {arXiv preprint arXiv:math/0411171},
  year   = {2007}
}

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12 pages published version

New refinements of the McKay conjecture for arbitrary finite groups

Abstract

Keywords

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